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Finding the Fourth Proportional to 1,029.11, 1,420.11 and 586.94

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Solution

The fourth proportional to 1,029.11, 1,420.11 and 586.94 is: 809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.11 : 1,420.11 = 586.94 : x
  2. Step 2: Convert to fraction form
    1,029.11/1,420.11 = 586.94/x
  3. Step 3: Cross multiply
    1,029.11x = 1,420.11 × 586.94
  4. Step 4: Simplify right side
    1,029.11x = 833,519.36
  5. Step 5: Solve for x
    x = 833,519.36/1,029.11
  6. Step 6: Final answer
    x = 809.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.